Suppose a bank charges a base rate of $5 plus $0.10 per check for your checking account. You can switch to a different account that charges $4 plus $0.20 per check. For what number of checks is the monthly cost of the two accounts the same? What is the cost?

Answers

Answer 1

Answer:

10 number of checks.

Cost = $6

Step-by-step explanation:

Given that:

Fixed Charges of first bank = $5

Charges of first bank per check = $0.10

Fixed Charges of second bank = $4

Charges of second bank per check = $0.20

To find:

Number of checks such that the charges for the banks become the same?

Solution:

Let the number of checks = [tex]x[/tex]

Cost for the first bank for [tex]x[/tex] checks = $5 + $0.10[tex]x[/tex]

Cost for the second bank for [tex]x[/tex] checks = $4 + $0.20[tex]x[/tex]

As per question statement, both the costs are the same.

Comparing the values:

[tex]5 + 0.10x = 4 + 0.20x\\\Rightarrow 0.10x = 1\\\Rightarrow x = 10[/tex]

So, for 10 number of checks the cost will be same.

The cost = 4 + 0.20 [tex]\times[/tex] 10 = $6


Related Questions

Can Someone Please Help Me!!!

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the answer is d because range is y axis

CAN SOMEONE PLEASE HELP ME PLEASE

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Answer:

x = 5

Step-by-step explanation:

I already explained and solved it on the other question. Here is the link to my explanation of how it's 5. https://brainly.com/question/20451937

Construct the graph of the direct proportion y=kx for

k=0

Of what line should I put it as? For example straight, ---------------
or up "forever" /

Answers

Welp,  I think this is it?

The proportion y = kx for k = 0 will be y = 0 and construct a horizontal line passing through the origin that is the x-axis.

How to plot a graph?

A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.

In order to plot the graph, we need to find out y's values corresponding to x's value

After that, we need to substitute the values of x's and y's into the coordinate geometry.

Given the direct proportion

y = kx

Now for k = 0

y = 0 so y = 0 is a horizontal line passing through the origin that is the x-axis.

In the graph below I have attached

Black line y = 4x ( k = 4)

Red line y = x ( k = 1)

Since k is decreasing the lines are becoming horizontal.

Hence "The proportion y = kx for k = 0 will be y = 0 and construct a horizontal line passing through the origin that is the x-axis".

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ABCD is a quadrilateral with AB equal and parallel to DC. prove that AD is equal and parallel to BC​

Answers

Answer: see below proof

Step-by-step explanation:

Imagine a diagonal line AC

If AB = DC and AB // DC then angle BAC =

Angle ACD Alternate Interior angles theorem.

Then if AB = AD and angle BAC = angle ACD and AC = AC then triangle ABC is congruent to triangle CDA.

If triangle ABC is congruent to triangle CDA then AD = BC because congruent parts of congruent triangles are congruent.

If triangle ABC is congruent to triangle CDA then angle ACB = angle CAD because congruent parts of congruent triangles are congruent.

If angle ACB = angle CAD then AD // BC because of the alternate interior angles theorem.


Determine what type of sequence this is:
6.5, 5.3.5, 2....
Arithmetic or
Geometric

What is the common difference or common ratio of this sequence?
6.5, 5.3.5. 2....

Answers

Answer:

6.5=30, 5.3.5.2=150

It is a geometric series.

30, 150,......

a1=30

common ratio

r= 150/30= 5

an=ar^(n-1)

Carmen deposits $4000 into an account that pays simple interest at a rate of 3% per year. How much interest will she be paid in the first 3 years?

Answers

Answer:

$360

Step-by-step explanation:

I = Prt

I = 4000 * 3 * 3%

I = 12000 * 3% (Convert 9000 and 3% into fractions.)

I =12000/1 * 3/100 (100 and 12000 have a GCF of 100)

I = 120/1 * 3/1 (Disregard the over 1 portion.)

I = 120 * 3 (Multiply 120 by 3 to get 360.)

I = $360

Mandi has $52 and would like to buy some magazines. Each magazine costs $8. How many magazines can Mandi buy? How much more money would she need to buy another magazine?

Answers

She can buy 6 magazines and she needs 4 more dollars to buy another

Does this graph show a function? Explain how you know.

Answers

Answer:

A

Step-by-step explanation:

It may look like it failed but it didn't. Nun of the points duplicate

Which of the following is 3x²/12x simplified?


3x/12


x/4


x/3


x²/4x

Answers

the third option is the answer

Answer:

I think it is the last one

Step-by-step explanation:

Candace deposited $3,587.39 into a savings account with an interest rate of 4.2% compounded twice a year. about how long will it take for the account to be worth $5,000?

Answers

Answer:

Solution in photo

Step-by-step explanation:

Guys help me please ,how to solve it? i need a solution

Answers

Answer:

well, x = 5

Step-by-step explanation:

here,

EB Is parallel to DC , so

Angle AEB = Angle ADE

( because they are corresponding angle pair )

Angle ABE = Angle ACD

( because they are corresponding angle pair )

triangle ADC Is similar to triangle AEB

(By AA similarity criteria )

hence AE / ED = AB / BC ( by CPCT )

so 24/10 = 12/x

=》 24/12= 10/x

=》 x = 5

okay i hope u got it

2. Which equation is true when x=3?
A. 8x = 28
B. X - 19 = 16
C. 28 + x = 25
D. S =1

Answers

the correct answer is c

Answer:c

Step-by-step explanation:

A company makes cylindrical candles by melting wax and putting into 3 inch diameter cylindrical jars one block of candlewax with a volume of 360 in.³ is used to make a box of 10 identical candles

Answers

I believe the answer is 1in

Answer: I said 1 inch. I am not 100% sure.

Step-by-step explanation:

What is the following product?

Answers

Answer:

10.25 which is equal to letter c

Step-by-step explanation:

I used a calculator and figured out which equals it

what is the difference between bullying and conflict

Answers

Answer:

Bullying is making fun of or hurting someone and a conflict is a disagreement that is serious

Step-by-step explanation:

Two siblings are racing. The older sibling can run at a constant speed of 11 feet per second. The younger sibling can run at a constant speed of 7 feet per second. If the younger sibling is given a 32-foot head start in the race, how long will it take the older sibling to catch the younger sibling, and how far will the older sibling have run at that moment?(1 point)

The older sibling will catch the younger sibling after ___ second(s) and running___feet.

Answers

Answer:

8 seconds after running 88 feet

Step-by-step explanation: this is what it told me the answer was

Answer:

The older sibling will catch the younger sibling after 8 second(s) and running 88 feet.

Step-by-step explanation:

Older Sibling:  11ft  22ft  33ft  44ft  55ft  66ft  77ft  88ft

Younger Sibling: 32ft  39ft  46ft  53ft  60ft  67ft  74ft  81ft

The younger sibling started at 32ft because of the headstart.  Each number was after 1 second. So this means it took 8 seconds for the older sibling to get to 88ft, and it took 8 seconds to get the younger sibling to 81ft.

I hope you can understand. :)

If f(x) = -6x + 1, what is f(1/2x-1) equal to

Answers

9x^2-10x^1+1 from −2x^2+4x−10

By substituting [tex]x = \(\frac{1}{2}x-1\)[/tex] , the given function f(x) = -6x + 1 can be simplified to [tex]f(x) = \(f(\frac{1}{2}x-1) = -3x + 7\)[/tex].

To find [tex]\(f(\frac{1}{2}x-1)\)[/tex], substitute [tex]\(\frac{1}{2}x-1\)[/tex] into the function f(x):

[tex]\(f(\frac{1}{2}x-1) = -6(\frac{1}{2}x-1) + 1\)[/tex]

Now, simplify the expression:

[tex]\(f(\frac{1}{2}x-1) = -3x + 6 + 1\)\\\\\(f(\frac{1}{2}x-1) = -3x + 7\)[/tex]

So, [tex]\(f(\frac{1}{2}x-1) = -3x + 7\)[/tex].

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Question 22 of 25

Add.

4x -5x+3

2x* +7X-8

OA. 6x- 2x+5

OB. 6x + 2x-5

OC. 6x+ 12x-5

D. 6x 2x+11

Answers

Answer

B

Step-by-step explanation:

Is the answer !

Answer:

The answer is B

Step-by-step explanation:

YEAH its is, And god is GIOD

Factor 64x2 – 80xy + 25y2 using the binomial theorem.
The binomial that was expanded is .
The exponent on the factored expression is .

Answers

Answer:

Step-by-step explanation:

You have $9.30 plus 6 percent of tax what is the total costs

Answers

Answer:

$ 9.86

Step-by-step explanation:

Tax = 6% of 9.30

      = 0.06 * 9.30

     = $ 0.558

Total costs = 9.30 + 0.558

                  = 9.858

                  = $ 9.86

What are some things to be aware of that can lead to higher than expected totals when making a purchase or checking out

Answers

Answer:

taxes

Step-by-step explanation:

Taxes, shipping (if checkout is online), and false advertisements.

Item 1
One February day, the low temperature in St. Paul, MN was -17°F. Over a period of three hours, the temperature rose 5 °F per hour. After three hours, what was the temperature?
°F

Answers

-2f
5 x 3 is 15, the three stands for the three hours and the five stands for the temperature per hour increase. -17f plus 15 is -2f

Whitney has 20 coins in her purse. Some are quarters and some are dimes. The total value of the coins is $3.35. How many quarters does Whitney have?

Answers

Answer:

I think it's 15 Quarters.

Step-by-step explanation:

The required number of dimes and quarter Whitney has is 11 and 9 respectively.

Given that,
Whitney has 20 coins in her purse. Some are quarters and some are dimes. The total value of the coins is $3.35. The number of quarters Whitney have is to be determined.

What are simultaneous linear equations?

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,
Let the number of dimes be x and the number of quarters be y,
According to ot the question,
x + y = 20
x = 20 - y - - - - (1)
and
0.1x + 0.25y = 3.35
From equation 1
0.1[20 - y] + 0.25y = 3.35
y = 9
Now,
x = 20 - 9
x = 11

Thus, the required number of dimes and quarters Whitney has is 11 and 9 respectively.


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y = 2x + 1
y = -2x + 1
y = -2x - 0.5
y = 2x - 0.5

Answers

have you seen how he answers questions? doesn't deserve to have people answer his

Step-by-step explanation:

Why is the boundary line for aninequality involving ng dashed rather than solid?

Answers

When the inequality is “less than or equal to” or “greater than or equal to” it is shown by a solid line. When the inequality is “less than” or “greater than” it is shown by a dotted/dashed line.

The number is halfway between 1/5 and 14/15

Answers

Answer:

17/30

Explanation:

m a t h

PS:

Can I have brainliest?

ANSWER:

4

___

15

STEP BY STEP:

Troy and Lisa were shopping for school supplies. Each purchased different quantities of the same notebook and thumb drive. Troy bought 4 notebooks and 5 thumb drives for $116. Lisa bought 2 notebooks and 3 thumb drives for $68. Find the cost of each notebook and each thumb drive.

Answers

Answer:NOTEBOOK= 4

THUMB DRIVE=20

Step-by-step explanation:

The cost of thumbdrive and notebook purchased are $20 and $4 respectively

Let :

Cost of Notebooks = n

Cost of Thumb drive = t

Troy :

4n + 5t = 116 - - - - (1)

Lisa :

2n + 3t = 68 - - - - (2)

Solving by elimination :

Multiply (1) by 2 and (2) by 4

8n + 10t = 232 - - - (3)8n + 12t = 272 - - - (4)

Subtract (3) and (4)

-2t = - 40t = 40 ÷ 2 = 20

From (1)

4n + 5(20) = 1164n + 100 = 1164n = 116 - 1004n = 16n = 16 ÷ 4 = 4

Hence, cost of notebook is $4 and cost of thumbdrive is $20

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Need help for dis question what is it ??

Answers

Answer:

2 * 16 - 4*(3 + 5) = 32 - 32 = 0

Step-by-step explanation:

A manufacturer knows that their items have a normally distributed length, with a mean of 16.2 inches, and standard deviation of 0.9 inches. If one item is chosen at random, what is the probability that it is less than 16.4 inches long

Answers

Answer:

57.926%

Step-by-step explanation:

Calculation for the probability that it is less than

16.4 inches long

Using this formula

z = (X - μ) / σ

Where,

X represent Date=16.4

μ represent Mean=16.2

σ represent Standard deviation=0.9 inches

Let plug in the formula

z = (16.4 - 16.2) /0.9 inches

z=0.2/0.9 inches

z = 0.2

Using Z-score table to find the area of 0.2

z=0.57926*100

z=57.926%

Therefore the probability that it is less than

16.4 inches long is 57.926%

1-27
What is the simplified version of Square root of -27

Answers

Answer:

3√3

Step-by-step explanation:

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